MOTION – Formula & Equation Sheet
Essential formulas and equations from Science, tailored for Class 9 in Science.
This one-pager compiles key formulas and equations from the MOTION chapter of Science. Ideal for exam prep, quick reference, and solving time-bound numerical problems accurately.
Key concepts & formulas
Essential formulas, key terms, and important concepts for quick reference and revision.
Formulas
v = u + at
v is the final velocity (m/s), u is the initial velocity (m/s), a is acceleration (m/s²), and t is time (s). This formula defines how velocity changes due to acceleration over time.
s = ut + ½ at²
s is the distance travelled (m), u is initial velocity (m/s), a is acceleration (m/s²), and t is time (s). It calculates distance based on constant acceleration.
2as = v² - u²
s is the distance travelled (m), v is final velocity (m/s), u is initial velocity (m/s), and a is acceleration (m/s²). This equation relates acceleration and velocities without time.
Average Speed = Total Distance / Total Time
Average Speed quantifies how fast an object moves over a distance in a given time, expressed in m/s or km/h.
Average Velocity = Displacement / Time
Average Velocity takes into account the direction of motion, calculated as displacement (m) over time (s).
Acceleration = Change in Velocity / Time
a = (v - u) / t, where a is acceleration (m/s²), v is final velocity (m/s), u is initial velocity (m/s), and t is time (s). It defines how quickly velocity changes.
v_avg = (u + v) / 2
v_avg is the average velocity (m/s), u is initial velocity (m/s), and v is final velocity (m/s). This formula shows average velocity when acceleration is constant.
Circumference = 2πr
C is the circumference (m) and r is the radius (m) of a circle. It calculates the distance covered in one complete circular motion.
Speed = Distance / Time
v = s / t, where v is speed (m/s), s is distance (m), and t is time (s). This formula calculates the rate of motion.
s = v × t
s is the distance travelled (m), v is the speed (m/s), and t is time (s). It provides a simple method for calculating distance at constant speed.
Equations
v = u + at
Relates final velocity to initial velocity, acceleration, and time.
s = ut + ½ at²
Calculates distance considering initial velocity and acceleration over time.
2as = v² - u²
Connects distance travelled to change in velocity when acceleration is constant.
Average Speed = Total Distance / Total Time
Used to find overall speed over a journey.
Acceleration = (v - u) / t
Defines how an object's velocity changes over time.
Average Velocity = (u + v) / 2
Calculates average when considering a constant acceleration scenario.
C = 2πr
Gives the circumference for circular motion.
s = v × t
Gives distance based on speed over time.
s = ut + ½ at²
Allows calculation of distance under uniform acceleration.
Speed = Distance / Time
Defines speed based on distance and time taken.
